LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 802, 956, 784 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 802, 956, 784 quickly. Get the easiest ways to solve the greatest common divisor of 802, 956, 784 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 956, 784 with Factoring?

Given Input numbers are 802, 956, 784

In the factoring method, we have to find the divisors of all numbers

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784


GCD of numbers is the greatest common divisor

So, the GCD (802, 956, 784) = 2.

Find GCD of 802, 956, 784 using Prime Factorization

Given numbers are 802, 956, 784

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 956 are 2 x 2 x 239

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 802, 956, 784 is 2.

Steps to Calculate GCD of 802, 956, 784 using LCM Formula

Given numbers are 802, 956, 784

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(802, 956) = 383356

GCD(802, 956) = ( 802 x 956 ) / 383356

= 802 / 956

= 802


Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2


So, Greatest Common Divisor of 802, 956, 784 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 956, 784

Given numbers are 802, 956, 784
The greatest common divisor of numbers 802, 956, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 956, 784 is 2.

FAQs on GCD of 802, 956, 784 Calculator

1. What is the GCD of 802, 956, 784?

GCD of given numbers 802, 956, 784 is 2


2. How to calculate the greatest common divisor of 802, 956, 784?

We can find the highest common divisor of 802, 956, 784 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 802, 956, 784 i.e 2.


3. How can I use the GCD of 802, 956, 784Calculator?

Out the numbers 802, 956, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.